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Finding the Fourth Proportional to 58,395, 80,585.42 and 31,899

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Solution

The fourth proportional to 58,395, 80,585.42 and 31,899 is: 44,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,395 : 80,585.42 = 31,899 : x
  2. Step 2: Convert to fraction form
    58,395/80,585.42 = 31,899/x
  3. Step 3: Cross multiply
    58,395x = 80,585.42 × 31,899
  4. Step 4: Simplify right side
    58,395x = 2,570,594,312.58
  5. Step 5: Solve for x
    x = 2,570,594,312.58/58,395
  6. Step 6: Final answer
    x = 44,020.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.